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30014314433301 = 311297313110313181
BaseRepresentation
bin1101101001100010000001…
…00011001100101100010101
310221021100012011211022110110
412310301000203030230111
512413223303443331201
6143500215151113233
76215314456150002
oct664610043145425
9127240164738413
1030014314433301
119621aaa031720
123448b85212819
131399450c30623
1475a9b45128a9
15370b1b81c6d6
hex1b4c408ccb15

30014314433301 has 128 divisors (see below), whose sum is σ = 46190005678080. Its totient is φ = 17168336640000.

The previous prime is 30014314433237. The next prime is 30014314433317. The reversal of 30014314433301 is 10333441341003.

It is not a de Polignac number, because 30014314433301 - 26 = 30014314433237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30014314433351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9435494931 + ... + 9435498111.

It is an arithmetic number, because the mean of its divisors is an integer number (360859419360).

Almost surely, 230014314433301 is an apocalyptic number.

It is an amenable number.

30014314433301 is a deficient number, since it is larger than the sum of its proper divisors (16175691244779).

30014314433301 is a wasteful number, since it uses less digits than its factorization.

30014314433301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4459.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 30014314433301 its reverse (10333441341003), we get a palindrome (40347755774304).

The spelling of 30014314433301 in words is "thirty trillion, fourteen billion, three hundred fourteen million, four hundred thirty-three thousand, three hundred one".

Divisors: 1 3 11 29 33 73 87 131 219 319 393 803 957 1031 1441 2117 2409 3093 3181 3799 4323 6351 9543 9563 11341 11397 23287 28689 29899 34023 34991 41789 69861 75263 89697 92249 104973 105193 125367 135061 225789 232213 276747 277327 315579 328889 405183 416711 696639 827893 831981 986667 1014739 1250133 1485671 2182627 2483679 2554343 3044217 3050597 3279611 3916769 4457013 4583821 6547881 6734177 7663029 9151791 9838833 9859453 11750307 12084619 13751463 20202531 24008897 29578359 30419903 36075721 36253857 43084459 72026691 74075947 91259709 95108719 108227163 108453983 129253377 132930809 222227841 239411603 285326157 285924137 325361949 334618933 398792427 429629041 718234809 857772411 882177187 1003856799 1046195909 1288887123 2633527633 2646531561 3138587727 3145165507 4725919451 6942936487 7900582899 9435496521 9703949057 12459242189 14177758353 20828809461 29111847171 31362919993 37377726567 76372301357 94088759979 137051664079 229116904071 344992119923 411154992237 909524679797 1034976359769 2728574039391 10004771477767 30014314433301